67344816 has 240 divisors, whose sum is σ = 234092160. Its totient is φ = 16450560.

The previous prime is 67344811. The next prime is 67344817. The reversal of 67344816 is 61844376.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (96768) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67344811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491500 + ... + 491636.

It is an arithmetic number, because the mean of its divisors is an integer number (975384).

Almost surely, 2^67344816 is an apocalyptic number.

67344816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67344816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117046080).

67344816 is an abundant number, since it is smaller than the sum of its proper divisors (166747344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67344816 is a wasteful number, since it uses less digits than its factorization.

67344816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 67344816 is about 8206.3887307390. The cubic root of 67344816 is about 406.8503777446.

The spelling of 67344816 in words is "sixty-seven million, three hundred forty-four thousand, eight hundred sixteen".